Finding the Fourth Proportional to 7,760.51, 10,706.73 and 5,208.90

Step by Step Solution

1. Step 1: Write the proportion equation
   7,760.51 : 10,706.73 = 5,208.90 : x
2. Step 2: Convert to fraction form
   7,760.51/10,706.73 = 5,208.90/x
3. Step 3: Cross multiply
   7,760.51x = 10,706.73 × 5,208.90
4. Step 4: Simplify right side
   7,760.51x = 55,770,255.51
5. Step 5: Solve for x
   x = 55,770,255.51/7,760.51
6. Step 6: Final answer
   x = 7,186.41